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Readme [11.4K]
2 years ago
14

A motorist enters a freeway at 25 mi/h and accelerates uniformly to 65 mi/h. From the odometer in the car, the motorist knows th

at she traveled 0.1 mi while accelerating. Determine (a) the acceleration of the car, (b) the time required to reach 65 mi/h.
Engineering
1 answer:
Helga [31]2 years ago
5 0

Answer:

a) 2.2 m/s² b) 8 s

Explanation:

a) Assuming that the acceleration is constant, we can use any of the kinematic equations to solve the question.

As we don´t know the time needed to accelerate, we can use the following equation:

vf2 – vo2 = 2*a*∆x

At first, we can convert the values of vf, vo and ∆x, to SI units, as follows:

vf = 65 mi/h* (1,605 m / 1mi) * (1h/3,600 sec) = 29 m/s

vo = 25 mi/h *(1,605 m / 1mi) * (1h/3,600 sec) = 11.2 m/s

∆x = 0.1 mi*(1,605 m / 1mi) = 160.5 m

Replacing these values in (1), and solving for a, we have:

a = (29 m/s – 11.2 m/s) / 321 m = 2.2 m/s2

b) In order to obtain the time needed to reach to 65 mi/h, we can rearrange the equation for the definition of acceleration, as follows:

vf = vo + at  

Replacing by the values already known for vo, vf and a, and solving for t, we get:

t = vf-vo /a = (29 m/s – 11.2 m/s) / 2.2 m/s = 8 sec

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// Program is written in C Programming Language

// Comments are used for explanatory purpose

// Program starts here

#include<stdio.h>

#include<math.h>

//Function to Convert to float

void To float(int num, int I)

{

//Create a kount variable

int kount;

// Start an iteration

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} raw;

} myfloat; // Variable name

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void printsegment(myfloat var)

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printf("\n");

}

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unsigned int ToReal(int* dig[], int l, int h)

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Start an iteration

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int main()

{

printf("Floating Point Conversion\n");

printf("Select any of the following options\n");

printf("1. Decimal to IEEE754 Conversion\n");

printf("2. IEEE754 to Decimal Conversion\n");

printf("3. Quit");

// Declare integer variable for option

int opt;

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printf("Select an option; Option 1 to 3: ");

scanf("%d", $opt);

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printf("You have selected option 1");

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scanf("%d", number);

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printf("Not a Number");

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printf(" | ");

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ToFloat(var.raw.mant,23);

}

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{

printf("You have selected option 2");

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printf("%f", var.f);

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{

// Quit Application

break;

}

return 0;

}

3 0
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